Asymmetric Posner Molecule Ensemble Breaks Biological Quantum Symmetry — E8 Intelligence Research

Andrew Stewart Caldin

Published Oct 9, 2026• 0 citations

Abstract

FINDING: Posner molecule (Ca₉(PO₄)₆) quantum coherence evidence is real but its dynamical ensemble is *not* symmetric — breaking the assumed high-symmetry framework for biological quantum information processing. | MATH: Posner molecule stoichiometry: Ca₉(PO₄)₆ → 9 Ca²⁺, 6 PO₄³⁻. Nuclear spin-1/2 on ³¹P (6 P atoms) — the proposed qubit register. The arXiv paper (2108.08822v2) explicitly states the dynamical ensemble is not symmetric — meaning the permutation symmetry group S₆ (acting on the 6 phosphate groups) is broken. This kills the naive "clock" symmetry that would protect nuclear spin coherence via collective states. Key constants: ³¹P gyromagnetic ratio γ ≈ 17.235 MHz/T; nuclear spin coherence times proposed ~10⁻¹–10⁰ s (vs. typical ~10⁻³ s). The symmetry breaking implies the Hamiltonian H = H₀ + H₁ where H₀ is S₆-symmetric and H₁ is a symmetry-breaking perturbation; the ratio of coherence survival scales as exp(−t·Γ) where Γ ∝ |⟨H₁⟩|²/ħ²·τ_c (τ_c = correlation time of the noisy e Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI: 10.5281/zenodo.23261991

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